First magnetic angular sensor outputs a sine-wave output and a cosine-wave output corresponding to positions of rotation of a rotary drum being fitted in a rotating drive shaft. Second magnetic angular sensor outputs a sine-wave output and a cosine-wave output corresponding to positions of rotation of another rotary drum being fitted on the rotating drive shaft. In case of the other output of the sine-wave output or the cosine-wave output of the first or the second magnetic angular sensor is varied while one output of the sine-wave output or the cosine-wave output in the first or the second magnetic angular sensor is not varied, the one output cosine-wave output or the sine-wave output of the first or the second magnetic angular sensor is determined to be a fault and an abnormality signal is delivered therefrom. The electric driven power steering apparatus having an assist torque means employed the magnetic angular sensor structure can be prevented in advance from the accident and high reliability thereor can be obtained.